Question

How would I further simplify the following?
\(\ \large (1)(r^2+1)^{-\frac{1}{2}}+r(-\frac{1}{2}(r^2+1))^{-\frac{3}{2}}\)

Answer 1

get rid of the 1 for a start

Answer 2

Yup, just did that

Answer 3

i bet this is some sort of derivative from a produce rule maybe

Answer 4

and you took literally the power rule
maybe it would be best to write as
\[\frac{1}{\sqrt{r^2+1}}+\frac{r}{2\sqrt{r+1}^3}\]

Answer 5

now if you want to add these up, multiply the first fraction top and bottom by
\[2(r^2+1)\]

Answer 6

oh it was a subtraction, no matter works the same

Answer 7

@satellite73 Yup! It's from a product rule! Nice!